Fixed Points of Multivalued Mappings on $S$-Metric Spaces

Hakan Karayılan

doi:10.53570/jnt.1745667

Fixed Points of Multivalued Mappings on $S$-Metric Spaces

Abstract

In the present study, an extension of Bollenbacher and Hicks's fixed point theorem, which is a version of Caristi's fixed point theorem, is proved for the context of multivalued mappings in $S$-metric spaces. Several significant results are derived from this extension. Moreover, it has been shown that various fixed point theorems for single-valued mappings can be derived as special cases from the main theorem.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Hakan Karayılan ^*
0000-0002-0266-8106
Türkiye

Early Pub Date

September 30, 2025

Publication Date

September 30, 2025

Submission Date

July 18, 2025

Acceptance Date

September 7, 2025

Published in Issue

Year 2025 Number: 52

DOI

https://doi.org/10.53570/jnt.1745667

IZ

https://izlik.org/JA92NT93JA

Cite

RIS / Bibtex

APA

Karayılan, H. (2025). Fixed Points of Multivalued Mappings on $S$-Metric Spaces. Journal of New Theory, 52, 52-60. https://doi.org/10.53570/jnt.1745667

AMA

1.Karayılan H. Fixed Points of Multivalued Mappings on $S$-Metric Spaces. JNT. 2025;(52):52-60. doi:10.53570/jnt.1745667

Chicago

Karayılan, Hakan. 2025. “Fixed Points of Multivalued Mappings on $S$-Metric Spaces”. Journal of New Theory, nos. 52: 52-60. https://doi.org/10.53570/jnt.1745667.

EndNote

Karayılan H (September 1, 2025) Fixed Points of Multivalued Mappings on $S$-Metric Spaces. Journal of New Theory 52 52–60.

IEEE

[1]H. Karayılan, “Fixed Points of Multivalued Mappings on $S$-Metric Spaces”, JNT, no. 52, pp. 52–60, Sept. 2025, doi: 10.53570/jnt.1745667.

ISNAD

Karayılan, Hakan. “Fixed Points of Multivalued Mappings on $S$-Metric Spaces”. Journal of New Theory. 52 (September 1, 2025): 52-60. https://doi.org/10.53570/jnt.1745667.

JAMA

1.Karayılan H. Fixed Points of Multivalued Mappings on $S$-Metric Spaces. JNT. 2025;:52–60.

MLA

Karayılan, Hakan. “Fixed Points of Multivalued Mappings on $S$-Metric Spaces”. Journal of New Theory, no. 52, Sept. 2025, pp. 52-60, doi:10.53570/jnt.1745667.

Vancouver

1.Hakan Karayılan. Fixed Points of Multivalued Mappings on $S$-Metric Spaces. JNT. 2025 Sep. 1;(52):52-60. doi:10.53570/jnt.1745667

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